Re: How would duplicators be used? (Scenario 186-B)
- From: Eivind Kjorstad <ekj@xxxxxxxxxxx>
- Date: Mon, 23 Jan 2006 12:26:29 +0100
Wildepad wrote:
> Eivind Kjorstad <ekj@xxxxxxxxxxx> wrote:
>>No. It's mainly a question about how much entropy is in the data.
> Not at all.
Yes it is. Listen:
You are asking about something of which you obviously know little. (no
offense, curiosity is a *good* thing!)
You get several answers from people who know a lot about the topic at
hand. Several of the answers contain what amounts to mathemathical
proof that you have misunderstood basic, fundamental issues.
If you aren't capable of understanding that proof, even though it's been
presented to you like 3 different ways now, in increasingly basic
language, that doesn't mean you are rigth -- it only means you are
incapable of understanding why you are wrong.
> If you have the computing power, you can handle a file as a single
> number instead of a series of small numbers.
Yes. For the same reason one can handle 357 as a single number instead
of 3 followed by 5 followed by 7.
> Then you just find a modest equation that represents that number.
There aren't such equations for most numbers. There *CANNOT* be.
Your claim is equivalent to saying that you can give each of 100
participators in a race their own, unique start-number using only one
digit. I *hope* (for your sake!) that you see why that doesn't work.
For the last time:
With a file X bits long there are 2**X possible files.
With a file Y bits long there are 2**Y possible files.
If Y is smaller than X, then there are less possible files Y long than
files X long. Thus not all files X long can be uniquely represented as
a file Y bits long. It doesn't matter how clever your mapping-function
is. It is fundamentally mathemathically impossible.
You are saying you can put 10 pigeons in 9 holes in such a way that
there is only one pigeon in each of the 9 holes. That's why I called it
the "pigeon-hole principle", it doesn't *matter* how clever you are at
selecting which pigeon goes where, it's mathemathically not doable.
and no, I didn't invent it. Google it.
Eivind Kjørstad
.
- References:
- Re: How would duplicators be used? (Scenario 186-B)
- From: Ben Bradley
- Re: How would duplicators be used? (Scenario 186-B)
- From: IsaacKuo
- Re: How would duplicators be used? (Scenario 186-B)
- From: IsaacKuo
- Re: How would duplicators be used? (Scenario 186-B)
- From: David M. Palmer
- Re: How would duplicators be used? (Scenario 186-B)
- From: Logan Kearsley
- Re: How would duplicators be used? (Scenario 186-B)
- From: Eivind Kjorstad
- Re: How would duplicators be used? (Scenario 186-B)
- From: Eivind Kjorstad
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